A perfectly competitive widget firm has this long run total cost equation: LTC = (½)q³ – 6q² + 40q %3D a. Find the long-run marginal cost curve (LMC) and the long-run average cost curve (LAC) and their minima. The firm's long-run supply curve (LS) is the LMC curve above LACmin- 2 Q laQ+ 40 t02-6Q+40O LMC = LAC = 3Q LMCMIN = at qM = LACMIN = at qa = %3D %3D - b. Complete the table at left to find some points on the firm's LMC and LAC curves. Then complete the table at right to find, for levels of output at which profit is nonnegative in the long run, the average and total profit associated with various quantities supplied. LMC LẠC qs P- LAC Profit 3. 6. 9. 9. 10 10 12 12 15 15 18 18 21 21

Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter13: Firms In Competitive Markets
Section: Chapter Questions
Problem 5CQQ
Question
Could I have help finding the minimum and completing the tables below?
1. LR Equilibrium of the Competitive Firm and Industry
A perfectly competitive widget firm has this long run total cost equation:
LTC = (3)q³ – 6q² + 40q
a. Find the long-run marginal cost curve (LMC) and the long-run average cost curve (LAC)
and their minima. The firm's long-run supply curve (LS) is the LMC curve above LACmin-
LMC = O *- la Qt40
LAC =
LMCMIN =
at qm =
LACMIN =
at qa =
b. Complete the table at left to find some points on the firm's LMC and LAC curves. Then
complete the table at right to find, for levels of output at which profit is nonnegative in
the long run, the average and total profit associated with various quantities supplied.
LMC
LẠC
qs
P- LAC
Profit
6.
9.
9.
10
10
12
12
15
15
18
18
21
21
C. GRAPH the firm's LAC, LMC, and long run supply (LS) curves (upper diagram page 3).
Transcribed Image Text:1. LR Equilibrium of the Competitive Firm and Industry A perfectly competitive widget firm has this long run total cost equation: LTC = (3)q³ – 6q² + 40q a. Find the long-run marginal cost curve (LMC) and the long-run average cost curve (LAC) and their minima. The firm's long-run supply curve (LS) is the LMC curve above LACmin- LMC = O *- la Qt40 LAC = LMCMIN = at qm = LACMIN = at qa = b. Complete the table at left to find some points on the firm's LMC and LAC curves. Then complete the table at right to find, for levels of output at which profit is nonnegative in the long run, the average and total profit associated with various quantities supplied. LMC LẠC qs P- LAC Profit 6. 9. 9. 10 10 12 12 15 15 18 18 21 21 C. GRAPH the firm's LAC, LMC, and long run supply (LS) curves (upper diagram page 3).
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